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Finding the Fourth Proportional to 339.92, 507.76 and 288.32

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Solution

The fourth proportional to 339.92, 507.76 and 288.32 is: 430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.92 : 507.76 = 288.32 : x
  2. Step 2: Convert to fraction form
    339.92/507.76 = 288.32/x
  3. Step 3: Cross multiply
    339.92x = 507.76 × 288.32
  4. Step 4: Simplify right side
    339.92x = 146,397.36
  5. Step 5: Solve for x
    x = 146,397.36/339.92
  6. Step 6: Final answer
    x = 430.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.